At a party,
13 of the people are children. The remaining group of people is divided into men and women in the ratio of 2 : 3. Each man is given 4 magnets and each woman is given 6 magnets. Each accompanying child receives 8 magnets. Given that only 456 magnets are given away to women and children, how many less men are there than women?
| Men |
Women |
Children |
| 2x5 |
1x5 |
| 2x2 |
3x2 |
|
| 4 u |
6 u |
5 u |
The number of adults is repeated. Make the number of adults the same. LCM of 2 and 5 is 10.
| |
Men |
Women |
Children |
| Number |
4 u |
6 u |
5 u |
| Value |
4 |
6 |
8 |
| Total value |
16 u |
36 u |
40 u |
Number of magnets given away to women and children
= 36 u + 40 u
= 76 u
1 u = 456 ÷ 76 = 6
Number of less men than women
= 6 u - 4 u
= 2 u
= 2 x 6
= 12
Answer(s): 12
